Have you ever found yourself captivated by the intricate repeating designs on fabric, wrapping paper, and more? There’s something truly magical about repeating patterns that can transform ordinary ...

Remember the graph paper you used at school, the kind that's covered with tiny squares? It's the perfect illustration of what mathematicians call a "periodic tiling of space", with shapes covering an ...

Honeycombs, some bathroom floors and designs by artist M.C. Escher have something in common: they are composed of repeating patterns of the same shape without any overlaps or gaps. This type of ...

The same researchers behind the 13-sided "hat" shape have stumbled upon a version that improves upon the original in a very important way. Reading time 2 minutes In March, a group of mathematicians ...

A quartet of mathematicians from Yorkshire University, the University of Cambridge, the University of Waterloo and the University of Arkansas has discovered a 2D geometric shape that does not repeat ...

A seamlessly-repeating pattern fill can be an attractive background for your company website as well as fliers, business cards and other documents. Creating such a pattern can however be quite tricky ...